# Gradians to Minutes of Arc Converter

Enter the angle in gradians below to get the value converted to minutes of arc.

Results in Minutes of Arc: 1g = 54 arcmin

Do you want to convert minutes of arc to gradians?

## How to Convert Gradians to Minutes of Arc

To convert a measurement in gradians to a measurement in minutes of arc, multiply the angle by the following conversion ratio: 54 minutes of arc/gradian.

Since one gradian is equal to 54 minutes of arc, you can use this simple formula to convert:

minutes of arc = gradians × 54

The angle in minutes of arc is equal to the angle in gradians multiplied by 54.

For example, here's how to convert 5 gradians to minutes of arc using the formula above.
minutes of arc = (5g × 54) = 270'

### How Many Minutes of Arc Are in a Gradian?

There are 54 minutes of arc in a gradian, which is why we use this value in the formula above.

1g = 54'

A gradian is equal to 1/400 of a revolution or circle, or 9/10°. The grad, or gon, is more precisely defined as π/200, or 1.570796 × 10-2 radians.

This unit simplifies the measurements of right angles, as 90° is equal to 100 gradians.

A gradian is sometimes also referred to as a grad, gon, or grade. Gradians can be abbreviated as g, and are also sometimes abbreviated as gr or grd. For example, 1 gradian can be written as 1g, 1 gr, or 1 grd.

In the expressions of units, the slash, or solidus (/), is used to express a change in one or more units relative to a change in one or more other units.

## What is a Minute of Arc?

The minute of arc is a unit of angle equal to 1/60th of one degree, or 1/21,600 of a circle. The minute of arc is also equal to π/10,800 radians.

A minute of arc is sometimes also referred to as an arc minute, arcminute, or minute arc. Minutes of arc can be abbreviated as arcmin, and are also sometimes abbreviated as MOA or amin. For example, 1 minute of arc can be written as 1 arcmin, 1 MOA, or 1 amin.

The minute of arc is most commonly represented using the prime (′), although the single-quote is commonly used. For instance, 1 minute of is most commonly expressed as 1′.

## Gradian to Minute of Arc Conversion Table

Table showing various gradian measurements converted to minutes of arc.
1g 54'
2g 108'
3g 162'
4g 216'
5g 270'
6g 324'
7g 378'
8g 432'
9g 486'
10g 540'
11g 594'
12g 648'
13g 702'
14g 756'
15g 810'
16g 864'
17g 918'
18g 972'
19g 1,026'
20g 1,080'
21g 1,134'
22g 1,188'
23g 1,242'
24g 1,296'
25g 1,350'
26g 1,404'
27g 1,458'
28g 1,512'
29g 1,566'
30g 1,620'
31g 1,674'
32g 1,728'
33g 1,782'
34g 1,836'
35g 1,890'
36g 1,944'
37g 1,998'
38g 2,052'
39g 2,106'
40g 2,160'

## References

1. Ambler Thompson and Barry N. Taylor, Guide for the Use of the International System of Units (SI), National Institute of Standards and Technology, https://physics.nist.gov/cuu/pdf/sp811.pdf